document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=616937>Question 616937</A>: <I><SPAN STYLE=\"word-break: break-all;\"> car A travels x km for every litre of petrol.while car B travels (x+5)km for every litre of petrol. if car A uses 4 litres of petrol more than car B in covering 400km, find the number of  litres of petril used by car B for the journey. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388184 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=388184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> car A travels x km for every litre of petrol.while car B travels (x+5)km for every litre of petrol. <BR>\n" );
document.write( "if car A uses 4 litres of petrol more than car B in covering 400km, find the number of litres of petril used by car B for the journey.<BR>\n" );
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document.write( "Car A's consumption - Car B consumption = 4 liters<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400%2Fx ALIGN=MIDDLE  ALT=\"400%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400%2F%28%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"400%2F%28%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
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document.write( "multiply by x(x+5) to clear the denominators, results:<BR>\n" );
document.write( "400(x+5) - 400x = 4x(x+5)<BR>\n" );
document.write( "400x + 2000 - 400x = 4x^2 + 20x<BR>\n" );
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document.write( "Combine like terms, A quadratic equation<BR>\n" );
document.write( "4x^2 + 20x - 2000 = 0<BR>\n" );
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document.write( "simplify, divide by 4<BR>\n" );
document.write( "x^2 + 5x - 500 = 0<BR>\n" );
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document.write( "Factors to<BR>\n" );
document.write( "(x+25)(x-20) = 0<BR>\n" );
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document.write( "the positive solution<BR>\n" );
document.write( "x = 20 km/liter for Car A<BR>\n" );
document.write( "then<BR>\n" );
document.write( "25 km/liter for Car B<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "Car B: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400%2F25 ALIGN=MIDDLE  ALT=\"400%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 16 liters for 400 km journey<BR>\n" );
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document.write( "Confirm this solution by finding the consumption of Car A<BR>\n" );
document.write( "400/20 = 20 liters, 4 liters more </SPAN>\n" );
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